@STRING{cahiers = "Cah\-iers de Topo\-lo\-gie et G\'e\-o\-m\'e\-trie Dif\-f\'e\-ren\-ti\-elle Cat\-\'e\-go\-rique" } @STRING{oldcahiers = "Cah\-iers de Topo\-lo\-gie et G\'e\-o\-m\'e\-trie Dif\-f\'e\-ren\-ti\-elle" } @STRING{ams = "Ameri\-can Mathe\-mati\-cal Society"} @STRING{lnm = "Lec\-ture Notes in Math\-e\-ma\-tics"} @STRING{lncs = "Lec\-ture Notes in Com\-pu\-ter Sci\-ence"} @STRING{jpaa = "Journal of Pure and Applied Algebra"} @STRING{springer = "Sprin\-ger-Ver\-lag"} @STRING{diagrammes = "Dia\-gram\-mes"} @STRING{esquisses = "Esquis\-ses Math\'e\-ma\-tiques"} @STRING{MSCS = "Mathematical Structures in Computer Science"} @PROCEEDINGS{mfps13, editor = "Brookes, Stephen and Michael W. Mislove", title = "Mathematical Foundations of Programming Semantics, Thirteenth Annual Conference", booktitle = "Mathematical Foundations of Programming Semantics, Thirteenth Annual Conference", year = "1997", publisher = "Elsevier", howpublished = "Available by web browser from {\tt http://www.elsevier.nl\slash locate\slash 1entcs}", } @BOOK{sln236, editor = "Barr, Michael and Pierre A. Grillet and van Osdol, Donovan H.", title = "Exact categories and Categories of Sheaves", booktitle = "Exact categories and Categories of Sheaves", year = "1971", publisher = "Springer Verlag", series = "Springer Lecture Notes in Mathematics", volume = "236", } @BOOK{arbook, author="Ad\'amek, Ji\v{r}i and Ji\v{r}i Rosicky", title = "Locally Presentable and Accessible Categories", publisher = "Cambridge University Press", year = 1994, } @BOOKLET{vmp, author = "Atish Bagchi and Charles Wells", title = "The varieties of mathematical prose", howpublished = "Available by web browser from {\tt http://www.cwru.edu\slash CWRU\slash Dept\slash Artsci\slash math\slash wells\slash pub\slash papers.html}", year = 1996, } @BOOKLET{logstr, author = "Atish Bagchi and Charles Wells", title = "Graph-based Logic and Sketches {I}: The General Framework", howpublished = "MSRI Preprint \#1995-006, {\tt http://www.msri.org/communications/preprints/online/1995-006.html}", year = 1995, } @BOOKLET{logstr2, author = "Atish Bagchi and Charles Wells", title = "Graph-based Logic and Sketches {II}: Finite Product Categories and Equational Logic", howpublished = "MSRI Preprint \#1996-092, {\tt http://www.msri.org/communications/preprints/online/1996-092.html}", year = 1996, } @INCOLLECTION{barrexact, author = "Barr, Michael", title = "Exact categories", crossref = "sln236", } @ARTICLE{barrmodsketch, author = "Barr, Michael", title = "Models of Sketches", journal = cahiers, year = "1986", volume = "27", pages = "93--107", } @ARTICLE{barrhornth, author = "Barr, Michael", title = "Models of {H}orn Theories", journal = "Contemporary Mathematics", year = "1989", volume = "92", pages = "1--7", } @BOOK{ttt, author = "Barr, Michael and Charles Wells", title = "Toposes, Triples and Theories", publisher = springer, year = "1985", series = "Grundlehren der mathematischen Wissenschaften", volume = "278", address = "New York", note = "A list of corrections and additions is maintained in \cite{tttcorr}.", } @BOOKLET{tttcorr, author = "Barr, Michael and Charles Wells", title = "Corrections to {T}oposes, {T}riples and {T}heories", year = "1993", note = "Corrections and additions to \cite{ttt}.", howpublished = "Available at {\tt http://www.cwru.edu\slash CWRU\slash Dept\slash Artsci\slash math\slash wells\slash pub\slash papers\pd html}", } @BOOK{ctcs, author = "Barr, Michael and Charles Wells", title = "Category Theory for Computing Science, third edition", publisher = "Les Publications CRM", year = "1999", address = "Montr\'eal", note = "Available for purchase from the website at \texttt{http://crm.umontreal.ca\slash pub\slash Ventess\slash CatalogueEng\pd html}" } @BOOKLET{ctcsup, author = "Barr, Michael and Charles Wells", title = "Category {T}heory for {C}omputing {S}cience: Update", year = "1993", note = "Corrections and additions to the first edition of \cite{ctcs}", howpublished = "Available by web browser from {\tt http://www.cwru.edu\slash CWRU\slash Dept\slash Artsci\slash math\slash wells\slash pub\slash papers.html}", } @ARTICLE{limsk, author = "Barr, Michael and Charles Wells", title = "On the limitations of sketches", journal = "Canadian Mathematical Bulletin", year = "1992", volume = "35", pages = "287--294", } @BOOKLET{diagc, author = "Barr, Michael and Charles Wells", title = "The Category of Diagrams", year = "1993", howpublished = "Available by web browser from {\tt http://www.cwru.edu\slash CWRU\slash Dept\slash Artsci\slash math\slash wells\slash pub\slash papers.html}", } @ARTICLE{bastehres, author = "Bastiani, Andr\'ee and Charles Ehresmann", title = "Categories of Sketched Structures", journal = oldcahiers, year = "1972", volume = "13", pages = "104-213", } @ARTICLE{burr, author = "Burroni, Albert", title = "Esquis\-ses des cat\'e\-gories \`a limites et des quasi-topologies", journal = esquisses, year = "1970", volume = "5", } @ARTICLE{burr70, author = "Burroni, E.", title = "Cat\'e\-go\-ries Dis\-crete\-ment Struc\-tur\'ees", journal = esquisses, year = "1970", volume = "5", } @ARTICLE{cartmell86, author = "Cartmell, J.", title = "Generalized Algebraic Theories and Contextual Categories", journal = "Annals Pure Applied Logic", year = "1986", volume = "32", pages = "209--243", note = "A different approach to models of finite limit theories.", } @ARTICLE{coppeylair88, author = "Coppey, L. and C. Lair", title = "Le\c cons de Th\'eorie des Esquis\-ses, Partie~{II}", journal = diagrammes, year = "1988", volume = "19", } @ARTICLE{duvrey1, author = "Duval, Dominique and Jean-Claude Reynaud", title = "Sketches and computation (1)", journal = MSCS, year = "1994", } @ARTICLE{duvrey2, author = "Duval, Dominique and Jean-Claude Reynaud", title = "Sketches and computation (2)", journal = MSCS, year = "1994", } @ARTICLE{duvsen, author = "Duval, Dominique and Pascale S\'en\'echaud", title = "Sketches and parametrization", journal =TCS, year = "1994", } @BOOK{EFT, author = "Ebbinghaus, H.-D. and J. Flum and W. Thomas", title = "Mathe\-ma\-ti\-cal Logic", publisher = springer, year = "1984", } @TECHREPORT{ehrkan, author = "Ehresmann, Charles", title = "Introduction to the Theory of Structured Categories", institution = "University of Kansas", number = "10", year = "1966", } @ARTICLE{csg, author = "Ehresmann, Charles", title = "Cat\'e\-gories struc\-tur\'ees g\'en\'e\-ralis\'es", journal = oldcahiers, volume = "X", year = "1968", pages = "139--168", } @ARTICLE{ehres68, author = "Ehresmann, Charles", title = "Esquis\-ses et types des struc\-tu\-res alg\'ebri\-ques", journal = "Bul. Inst. Polit. Ia\c si", volume = "XIV", year = "1968", } @ARTICLE{eilmaclane, author = "Eilenberg, Samuel and Saunders {Mac Lane}", title = "General Theory of Natural Equivalences", journal = "Trans. Amer. Math. Soc.", year = "1945", volume = "58", pages = "231--244", } @INCOLLECTION{fourvick, author = "Fourman, Michael and S. Vickers", title = "Theories as categories", booktitle = "Category Theory and Computer Programming", editor = "Pitt, D. and others", series = lncs, volume = "240", publisher = springer, year = "1986", pages = "434--448", } @ARTICLE{freyd66, author = "Freyd, Peter", title = "Algebra valued functors in general and tensor products in particular", journal = "Colloquium Mathematicum", volume = "14", year = "1966", pages = "89--106", } @INCOLLECTION{gogburst, author = "Goguen, Joseph A. and R. M. Burstall", title = "A Study in the Foundations of Programming Methodology: Specifications, Institutions, Charters and Parchments", editor = "Pitt, D. and others", booktitle = "Category Theory and Computer Programming", series = lncs, volume = "240", publisher = springer, year = "1986", pages = "313--333", } @TECHREPORT{gogmes, author = "Goguen, Joseph A. and Jos\'e Meseguer", title = "Completeness of Many-Sorted Equational Logic", number = "CSL-135", institution = "SRI International Computer Science Laboratory, 333 Ravenswood Ave., Menlo Park, CA 94025, USA", year = "1982", } @ARTICLE{gray87, author = "Gray, J. W.", title = "Categorical Aspects of Data Type Constructors", journal = "Theoretical Computer Science", year = "1987", volume = "50", pages = "103--135", } @INPROCEEDINGS{gray89, author = "Gray, J. W.", title = "The Category of Sketches as a Model for Algebraic Semantics", pages = "109--135", editor = "John W. Gray and Andre Scedrov", booktitle = "Categories in Computer Science and Logic", series = "Contemporary Mathematics", publisher = ams, volume = "92", year = "1989", } @ARTICLE{gray90, author = "Gray, John W.", title = "Executable Specifications for Data-Type Constructors", journal = diagrammes, year = "1990", volume = "24", pages = "7--31", } @ARTICLE{guit74, author = "Ren\'e Guitart", title = "Remarques sur les machines et les structures", journal = cahiers, volume = "15", year = "1974", } @ARTICLE{guit77, author = "Guitart, Ren\'e and Van den Bril , Luc", title = "Decompositions et lax-completions", journal = cahiers, volume = "18", year = "1977", } @ARTICLE{guitartlair80, author = "Guitart, Ren\'e and Christian Lair", title = "Calcul Syntaxique des Mod\`eles et Calcul des Formules Internes", journal = diagrammes, year = "1980", volume = "4", } @ARTICLE{guitartlairrep, author = "Guitart, Ren\'e and Christian Lair", title = "Limites et Co-limites pour Repre\-senter les For\-mu\-les", journal = diagrammes, year = "1982", volume = "7", } @INPROCEEDINGS{kpt, author = "Kinoshita, Yoshiki and John Power and Makoto Takeyama", title = "Sketches", crossref = "mfps13", } @ARTICLE{kellyess, author = "Kelly, G.M.", title = "On the Essentially-Algebraic Theory Generated by a Sketch", journal = "Bulletin of the Australian Mathematical Society", year = "1982", volume = "26", pages = "45--56", } @BOOKLET{kocklimmon, author = "Anders Kock", title = "Limit Monads in Categories", howpublished = "Aarhus Preprint Series", year = "1967", number = "6", } @ARTICLE{lairfoncomis, author = "Lair, Christian", title = "Fonc\-teurs d'omis\-sion de Struc\-tures Alg\'e\-bri\-ques", journal = oldcahiers, year = "1971", volume = "12", pages = "447--486", } @ARTICLE{lairtrames, author = "Lair, Christian", title = "Tra\-mes et Seman\-ti\-ques Cat\'ego\-ri\-ques des Syst\`emes de Tra\-mes", journal = diagrammes, year = "1987", volume = "18", } @INCOLLECTION{lambekscott84, author = "Lambek, Joachim and P. Scott", title = "Aspects of Higher Order Categorical Logic", pages = "145--174", editor = "Gray, J.W.", booktitle = "Mathematical Applications of Category Theory", series = "Contemporary Mathematics", publisher = ams, volume = "30", year = "1984", } @BOOK{lambekscottbook, author = "Lambek, Joachim and P. Scott", title = "Introduction to Higher Order Categorical Logic", publisher = "Cambridge University Press", series = "Cambridge Studies in Advanced Mathematics", volume = "7", year = "1986", } @PHDTHESIS{lawverefuncsem, author = "Lawvere, F.W.", title = " Functorial Semantics of Algebraic Theories", school = "Columbia University", year = "1963", } @INPROCEEDINGS{linton66, author = "Linton, F.E.J", title = "Some Aspects of Equational Categories", editor = "Eilenberg, S. and others", booktitle = "Proceedings of the Conference on Categorical Algebra at La Jolla", publisher = springer, year = "1966", } @INCOLLECTION{lintonoutline, author = "Linton, F.E.J.", title = "An Outline of Functional Semantics", pages = "7--52", booktitle = "Seminar on Triples and Categorical Homology Theory", series = "Lecture Notes in Mathematics", volume = "80", year = "1969", publisher = springer, } @INCOLLECTION{lintonapplied, author = "Linton, F.E.J.", title = "Applied Functorial Semantics", pages = "53--74", booktitle = "Seminar on Triples and Categorical Homology Theory", series = "Lecture Notes in Mathematics", volume = "80", year = "1969", publisher = springer, } @BOOKLET{msdp, author = "Makkai, Michael", title = "Generalized Sketches as a Framework for Completeness Theorems", year = "1993", note = "Journal of Pure and Applied Algebra, to appear", } @BOOKLET{maksyn, author = "Makkai, Michael", title = "The Syntax of Categorical Logic", year = "1993", note = "Preprint, McGill University", } @BOOK{makkaipare, author = "Makkai, Michael and R. Par\'e", title = "Accessible Categories: the Foundations of Categorical Model Theory", series = "Contemporary Mathematics", volume = "104", year = "1990", publisher = "American Mathematical Society", } @BOOK{makkaireyes, author = "Makkai, Michael and Gonzalo Reyes", title = "First Order Categorical Logic", publisher = springer, series = "Lecture Notes in Mathematics", volume = "611", year = "1977", } @BOOK{manesalgth, author = "Manes, E.", title = "Algebraic Theories", publisher = springer, series = "Graduate Texts in Mathematics", volume = "26", year = "1975", } @ARTICLE{macst2, author = "McDonald, John L. and Arthur Stone", title = "Topoi over graphs", journal = oldcahiers, year = "1984", volume = "XXV", } @ARTICLE{mclartyleftexact, author = "McLarty, Colin", title = "Left Exact Logic", journal = "J. Pure Applied Algebra", year = "1986", volume = "41", pages = "63--66", } @BOOK{mendelson, author = "Mendelson", title = "Mathematical logic", pubisher = "Find out the publisher", year = "1980", note = "Complete and correct this entry!", } @TECHREPORT{GL, author = "Meseguer, Jos\'e ", title = "General Logics", number = "CSL-89-5", institution = "SRI International Computer Science Laboratory, 333 Ravenswood Ave., Menlo Park, CA 94025, USA", year = "1989", } @ARTICLE{powerwells, author = "Power, A.J. and Charles Wells", title = "A Formalism for the Specification of Essentially Algebraic Structures in 2-Categories", journal = "Mathematical Structures in Computer Science", Volume = "2", year = "1992", pages = "1--28", } @BOOK{reichel, author = "Reichel, Horst", title = "Initial Computability, Algebraic Specifications and Partial Algebras", publisher = "Clarendon Press", year = "1987", } @ARTICLE{santar, author = "Sanella, D. and A. Tarlecki", title = "Building Specifications in an Arbitrary Insti\-tu\-tion", journal = "Information and Control", volume = "76", year = "1988", pages = "165--210", } @INCOLLECTION{Tar, author = "Tarski, A.", title = "On some Fundamental Concepts of Metamathematics", booktitle = "Logic, Semantics, Metamathematics", year = "1956", publisher = "Oxford University Press", note = "Complete and correct this entry!", } @ARTICLE{tholtozz, author = "Tholen, Walter and Anna Tozzi", title = "Completions of Categories and Initial Completions", journal = cahiers, year = 1989, pages = "127--156", } @ARTICLE{gensk, author = "Wells, Charles", title = "A Generalization of the Concept of Sketch", journal = tcs, year = "1990", volume = "70", pages = "159--178", } @BOOKLET{skor, author = "Charles Wells", title = "Sketches: Outline with references", howpublished = "Available by web browser from {\tt http://www.cwru.edu\slash artsci\slash math\slash wells\slash pub\slash papers.html}", year = 1994, } @INCOLLECTION{wellsbarr, author = "Wells, Charles and M. Barr", title = "The Formal Description of Data Types using Sketches", editor = "Main, Michael and others", booktitle = "Mathematical Foundations of Programming Language Semantics", series = "Lecture Notes in Computer Science", volume = "298", year = "1988", publisher = springer, }